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Finding the Fourth Proportional to 13,417.20, 20,101.80 and 6,476.40

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Solution

The fourth proportional to 13,417.20, 20,101.80 and 6,476.40 is: 9,703.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,417.20 : 20,101.80 = 6,476.40 : x
  2. Step 2: Convert to fraction form
    13,417.20/20,101.80 = 6,476.40/x
  3. Step 3: Cross multiply
    13,417.20x = 20,101.80 × 6,476.40
  4. Step 4: Simplify right side
    13,417.20x = 130,187,297.52
  5. Step 5: Solve for x
    x = 130,187,297.52/13,417.20
  6. Step 6: Final answer
    x = 9,703.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.